If (S_y=4950), what will be the value of (S_{y+1})?
Answer and explanation
Correct answer: 5050
The sum of the first \(n\) natural numbers is \(S_n=\frac{n(n+1)}{2}\). From \(\frac{y(y+1)}{2}=4950\), we get \(y=99\). Therefore, \(S_{y+1}=S_{100}=S_{99}+100=4950+100=5050\). Getting 5025 would require adding an incorrect next term. Exam tip: use \(S_{n+1}=S_n+(n+1)\) to solve such questions quickly.
Frequently asked questions
What is the correct answer to this question?
5050
Why is this the correct answer?
The sum of the first \(n\) natural numbers is \(S_n=\frac{n(n+1)}{2}\). From \(\frac{y(y+1)}{2}=4950\), we get \(y=99\). Therefore, \(S_{y+1}=S_{100}=S_{99}+100=4950+100=5050\). Getting 5025 would require adding an incorrect next term. Exam tip: use \(S_{n+1}=S_n+(n+1)\) to solve such questions quickly.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Sum of first n natural numbers.
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